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Pencils of lines in generalized Laguerre spaces
Combinatorics Multidimensional Laguerre spaces subspaces pencils Grassmann spaces
2012/4/17
In the paper we characterize subspaces and pencils of lines of generalized (and multidimensional) Laguerre spaces and we consider definability of the structure of "conic" pencils in the Grassmann spac...
A heat kernel version of Hardy's theorem for the Laguerre hypergroup
Laguerre hypergroup Uncertainty principle Hardy's theorem
2011/9/30
The uncertainty principle says that a function and its Fourier transform can't simultaneously decay very rapidly at infinity. A classical version of uncertainty principle, known as Hardy's theorem, wa...
A heat kernel version of Hardy's theorem for the Laguerre hypergroup
Laguerre hypergroup Uncertainty principle Hardy's theorem
2011/9/29
The uncertainty principle says that a function and its Fourier transform can't simultaneously decay very rapidly at infinity. A classical version of uncertainty principle, known as Hardy's theorem, wa...
Krall-Laguerre commutative algebras of ordinary differential operators
Krall-Laguerre commutative algebras ordinary differential operators Classical Analysis and ODEs
2011/9/15
Abstract: In 1999, Grunbaum, Haine and Horozov defined a large family of commutative algebras of ordinary differential operators which have orthogonal polynomials as eigenfunctions. These polynomials ...
Discrete Laguerre-Sobolev expansions: A Cohen type inequality
Laguerre polynomials Laguerre–Sobolev type polynomials Cohen type inequality Bessel functions
2011/8/25
Abstract: C. Markett proved a Cohen type inequality for the classical Laguerre expansions in the appropriate weighted $L^{p}$ spaces. In this paper, we get a Cohen type inequality for the Fourier expa...
Subordination by orthogonal martingales in $L^{p}$ and zeros of Laguerre polynomials
orthogonal martingales $L^{p}$ zeros of Laguerre polynomials
2011/1/18
In this paper we address the question of finding the best Lp-norm constant for martingale transforms with one-sided orthogonality. Let O = (,B, P)be a probability space with filtration B generated by ...
The application of the pseudostate-close-coupling method using a non-orthogonal Laguerre-L^2 basis for electron-helium scattering
Differential and total cross sections Elastic and excitation
2010/9/25
Differential and total cross sections for elastic and excitation from the ground state to n ≤ 2 states of atomic helium by electrons are computed for incident energies in the range from 5 to 50 eV. Th...
A Laguerre minimal surface is an immersed surface in the Euclidean space being an extremal of the functional \int (H^2/K - 1) dA. In the present paper, we prove that the only ruled Laguerre minimal s...
On Lusin's area integrals and g-functions in certain Dunkl and Laguerre settings
On Lusin's area integrals g-functions Laguerre settings
2010/11/9
We investigate $g$-functions and Lusin's area type integrals related to certain multi-dimensional Dunkl and Laguerre settings. We prove that the considered square functions are bounded on weighted $L^...
Minimal representations of conformal groups and generalized Laguerre functions
Minimal representations conformal groups generalized Laguerre functions
2010/12/10
We give a unified construction of the minimal representation of a finite cover G of the conformal group of a (non necessarily euclidean) Jordan algebra V . This representation is realized on the L2-sp...
Direct spreading measures of Laguerre polynomials
Orthogonal polynomials Laguerre polynomials spreading lengths
2010/11/26
The direct spreading measures of the Laguerre polynomials L( )n (x), which quantify the distribution of its Rakhmanov probability density n, (x) = 1 d2 n x e−x h L( ) n (x)
i2 along the positi...
Multipliers of Laplace Transform Type for Laguerre and Hermite Expansions
Laguerre expansions Hermite expansions harmonic oscillator
2010/12/6
We present a new criterion for the boundedness in weighted Lp spaces of multiplier operators for Laguerre and Hermite expansions that arise from a Laplace-Stieltjes transform. As a special case, we re...
Laguerre and Meixner symmetric functions, and infinite-dimensional diffusion processes
Laguerre Meixner symmetric functions infinite-dimensional diffusion processes
2010/12/3
The Laguerre symmetric functions introduced in the note are indexed by arbitrary partitions and depend on two continuous parameters. The top degree homogeneous component of every Laguerre symmetric fu...
Another set of infinitely many exceptional (X_{\ell}) Laguerre polynomials
shape invariance orthogonal polynomials
2010/4/8
We present a new set of infinitely many shape invariant potentials and the corresponding exceptional (X_{\ell}) Laguerre polynomials. They are to supplement the recently derived two sets of infinitely...
Infinitely many shape invariant potentials and cubic identities of the Laguerre and Jacobi polynomials
invariant potentials Jacobi polynomials cubic identities
2010/4/8
We provide analytic proofs for the shape invariance of the recently discovered (Odake and Sasaki, Phys. Lett. B679 (2009) 414-417) two families of infinitely many exactly solvable one-dimensional quan...